Search a number
-
+
131045404141503 = 321511732292434001
BaseRepresentation
bin11101110010111101100010…
…110000110110011110111111
3122011222211002112100002020100
4131302331202300312132333
5114134021441430012003
61142413232204452143
736413501164250055
oct3562754260663677
9564884075302210
10131045404141503
1138834053322705
121284558884a053
1358176b43c3537
1424508ba7d61d5
151023bd1e7dba3
hex772f62c367bf

131045404141503 has 48 divisors (see below), whose sum is σ = 192479709839040. Its totient is φ = 85906569600000.

The previous prime is 131045404141471. The next prime is 131045404141507. The reversal of 131045404141503 is 305141404540131.

131045404141503 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 5 + 4 + 0 + 4 + 141 + 503 = 666.

It is not a de Polignac number, because 131045404141503 - 25 = 131045404141471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045404141507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52622503 + ... + 55056503.

It is an arithmetic number, because the mean of its divisors is an integer number (4009993954980).

Almost surely, 2131045404141503 is an apocalyptic number.

131045404141503 is a deficient number, since it is larger than the sum of its proper divisors (61434305697537).

131045404141503 is a wasteful number, since it uses less digits than its factorization.

131045404141503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434560 (or 2434557 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 131045404141503 its reverse (305141404540131), we get a palindrome (436186808681634).

The spelling of 131045404141503 in words is "one hundred thirty-one trillion, forty-five billion, four hundred four million, one hundred forty-one thousand, five hundred three".

Divisors: 1 3 9 151 173 229 453 519 687 1359 1557 2061 26123 34579 39617 78369 103737 118851 235107 311211 356553 2434001 5982167 7302003 17946501 21906009 53839503 367534151 421082173 557386229 1102602453 1263246519 1672158687 3307807359 3789739557 5016476061 63583408123 84165320579 96427817617 190750224369 252495961737 289283452851 572250673107 757487885211 867850358553 14560600460167 43681801380501 131045404141503